Solve 52/7:37/40

$$5 \frac { 2 } { 7 } : \frac { 37 } { 40 }$$

Evaluate

$$\frac{40}{7}\approx 5.714285714$$

Solution Steps

Divide \frac{5\times 7+2}{7} by \frac{37}{40} by multiplying \frac{5\times 7+2}{7} by the reciprocal of \frac{37}{40}.

$$\frac{\left(5\times 7+2\right)\times 40}{7\times 37}$$

Multiply 5 and 7 to get 35.

$$\frac{\left(35+2\right)\times 40}{7\times 37}$$

Add 35 and 2 to get 37.

$$\frac{37\times 40}{7\times 37}$$

Multiply 37 and 40 to get 1480.

$$\frac{1480}{7\times 37}$$

Multiply 7 and 37 to get 259.

$$\frac{1480}{259}$$

Reduce the fraction \frac{1480}{259} to lowest terms by extracting and canceling out 37.

$$\frac{40}{7}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{7} = 5\frac{5}{7} = 5.714285714285714$$